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Finding the Fourth Proportional to 7,954.42, 10,975.87 and 4,766.98

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Solution

The fourth proportional to 7,954.42, 10,975.87 and 4,766.98 is: 6,577.70

Step by Step Solution

  1. Step 1: Write the proportion equation
    7,954.42 : 10,975.87 = 4,766.98 : x
  2. Step 2: Convert to fraction form
    7,954.42/10,975.87 = 4,766.98/x
  3. Step 3: Cross multiply
    7,954.42x = 10,975.87 × 4,766.98
  4. Step 4: Simplify right side
    7,954.42x = 52,321,752.77
  5. Step 5: Solve for x
    x = 52,321,752.77/7,954.42
  6. Step 6: Final answer
    x = 6,577.70

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1.5x scale

Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.